# Time and space complexity of algorithms tutorial pdf

Posted on Saturday, March 20, 2021 8:19:38 AM Posted by Odo G. - 20.03.2021 and pdf, free pdf 1 Comments

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## Complexity Analysis

Every day we come across many problems and we find one or more than one solutions to that particular problem. Some solutions may be efficient as compared to others and some solutions may be less efficient. Generally, we tend to use the most efficient solution. For example, while going from your home to your office or school or college, there can be "n" number of paths. But you choose only one path to go to your destination i. The same idea we apply in the case of the computational problems or problem-solving via computer. We have one computational problem and we can design various solutions i.

## An Introduction to the Time Complexity of Algorithms

In our previous articles on Analysis of Algorithms , we had discussed asymptotic notations, their worst and best case performance etc. In this article, we discuss the analysis of the algorithm using Big — O asymptotic notation in complete detail. Definition: Let g and f be functions from the set of natural numbers to itself. Basically, this asymptotic notation is used to measure and compare the worst-case scenarios of algorithms theoretically. For any algorithm, the Big-O analysis should be straightforward as long as we correctly identify the operations that are dependent on n, the input size. In general cases, we mainly used to measure and compare the worst-case theoretical running time complexities of algorithms for the performance analysis. The fastest possible running time for any algorithm is O 1 , commonly referred to as Constant Running Time.

For any defined problem, there can be N number of solution. This is true in general. If I have a problem and I discuss about the problem with all of my friends, they will all suggest me different solutions. And I am the one who has to decide which solution is the best based on the circumstances. Similarly for any problem which must be solved using a program, there can be infinite number of solutions. Let's take a simple example to understand this.

Time complexity of an algorithm quantifies the amount of time taken by an algorithm to run as a function of the length of the input. Similarly, Space complexity of an.

## Complexity of Algorithm

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Edit Reply. You would have come across a term called space complexity when you deal with time complexity. In this article, let's discuss how to calculate space complexity in detail.

*There are multiple ways to solve a problem using a computer program.*